My papers can be found on the arXiv.

Preprints and publications

  1. Kazhdan-Lusztig polynomials of braid matroids (with L. Ferroni). Arxiv.
  2. Intersection theory of polymatroids (with C. Eur). Arxiv.
  3. K-rings of wonderful varieties and matroids (with S. Li, S. Payne, and N. Proudfoot). Arxiv.
  4. Signed permutohedra, delta-matroids, and beyond (with C. Eur, A. Fink, and H. Spink). Arxiv.
  5. The local motivic monodromy conjecture for simplicial nondegenerate singularities (with S. Payne and A. Stapledon). Arxiv.
  6. Stellahedral geometry of matroids (with C. Eur and J. Huh). Arxiv.
  7. The Bergman fan of a polymatroid (with C. Crowley, J. Huh, C. Simpson, and B. Wang). Arxiv.
  8. Resolutions of local face modules, functoriality, and vanishing of local h-vectors (with S. Payne and A. Stapledon). To appear in Algebr. Comb.
  9. The Arakelov-Zhang pairing and Julia sets (with A. Bridy). Proc. Amer. Math. Soc. 149 (2021). 14pp.
  10. Inverse problems for minimal complements and maximal supplements (with N. Alon and N. Kravitz). J. Number Theory (2021). 18pp.
  11. Unions of Random Trees and Applications (with A. James, D. Montealegre, and A. Salmon). Disc. Math. 344 (2021). 13pp.
  12. Power maps in finite groups. Integers 19 (2019). 15pp.

Other writings

  1. Theorem of the base (with R. Cheng, L. Ji, and N. Olander). Stacks Project Expository Collection, 163-193, London Math. Soc. Lecture Note Ser., 480, Cambridge Univ. Press, Cambridge, 2022.

Slides

  1. Algebraic geometry of delta-matroids
  2. Nonvanishing criteria for local h-polynomials

Programming

I've written some (commented) code in Sage to compute the Arakelov-Zhang pairing between two rational functions defined over the rationals. It can be found here.